2. Documents from the whaling industry of Windward Islands in the Lesser Antilles indicate that in the1920s short-finned pilot whales weighed an average of 360 kg. Cetologists believe that overhunting anddepletion of prey species has caused the average weight of these whales to drop in recent years. Amodern survey of this species in the same waters found that a random sample of 25 individuals had amean weight of 336 kg and sample standard deviation of 30 kg. Using significance threshold a = 0.01,can you conclude that pilot whales are significantly lighter today than during the 1920s?

Answered: 2. Documents from the whaling industry…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a scientific study conducted by the Dax Science Lab on Deep Space Nine, 41 male rats were sent to space. Upon their return, the red blood cell mass of these 41 male rats has a sample mean of 7.881 mm and a sample standard deviation of 1.017 mm. Using significance level=0.01, test if the mean red blood cell mass is lower than 8 mm.
In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a number of high outliers, mainly hybrid gas‑electric vehicles. If we ignore the vehicles identified as outliers, however, the combined city and highway gas mileage of the other 1146 vehicles is approximately Normal with mean 23.0 miles per gallon (mpg) and standard deviation 4.9 mpg. The 2016 Volkswagen Beetle with a four‑cylinder 1.8‑L engine and automatic transmission has combined gas mileage of 28 mpg. Find the percentage of 2016 vehicles that have better gas mileage than the Beetle's gas mileage. (Enter your answer rounded to two decimal places.)
12) A state fish hatchery raises trout for stocking streams and lakes. The size of the fish at release time can be controlled to a fair degree by varying the rate of feeding. The target is a mean of 10 ounces; if the fish are too small, those who catch the fish aren’t happy. A random sample of 75 fish were weighed at time of release and it was determined that the mean was 9.66 ounces with a standard deviation of 0.86 ounces. Test to determine if the fish being released have a population mean less than 10 ounces at the 0.01 significance level.
The health of employees is monitored by periodically weighing them. Asample of 54 employees has a mean weight of 184.1 lb. Assuming that thepopulation standard deviation is 122.3 lb, use a 0.10 significance level to test theclaim that the mean of all such employees weights is less than 200 lbs.
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
Historically, evening long-distance calls from a particular city have averaged 15.1 minutes per call. In a random sample of 37 calls, the sample mean time was 13.3 minutes. Assume the standard deviation is known to be 5 minutes. Using a 0.05 level of significance, is there sufficient evidence to conclude that the average evening long-distance call has decreased?
2) In a test of the Atkins weight loss program, forty individuals participated in a randomized trial with overweight adults. After one year, the mean weight loss was 7.1 pounds with a standard deviation of 4.8 pounds. Test a claim that, on average, participants lose 5 pounds. Use a .05 level of significance.
In a random sample of 32 fossilized male femurs found at the Gronsalen Barrow, the mean weight was 10.2 oz and the standard deviation was 0.42 oz. Use a 0.01 significance level to test the claim that the mean weight of the femurs of the males who lived there was 10.4 oz.

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